The teacher took class 9 students to a poultry
farm for survey. They talked to the farmer
regarding laying of eggs. The farmer recorded
the laying habits of his chickens over a 10-week
period. The record shows:
Number of eggs Number
of days
2 6
3 10
4 14
5 20
6 9
7 6
8 5
Total = 70
4
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(a) How many weeks the survey was done?
(i) 7 weeks (ii) 10 weeks (iii) 5 weeks (iv) 4 weeks
(b) What is the probability that on particular day the chickens will lay 5 eggs?
(i) 2
7 (ii) 1
5 (iii) 1
7 (iv) 3
7
(c) What is the probability that on any particular day the chickens will lay more
than 6 eggs?
(i) 2
7 (ii) 1
14 (iii) 3
35 (iv) 11
70
(d) What is the probability that on any particular day the chickens will lay
4 eggs or less?
(i) 1
5 (ii) 3
7 (iii) 1
7 (iv) 3
35
(e) How many days are involved in 11 weeks?
(i) 77 days (ii) 70 days (iii) 71 days (iv) 72 days
Answers
Given : The farmer recorded the laying habits of his chickens over a 10-week
E D
2 6
3 10
4 14
5 20
6 9
7 6
8 5
Total = 70
To Find : probability that on particular day the chickens will lay 5 eggs
2/7 , 1/5 , 1/7 , 3/7
probability that on any particular day the chickens will lay more than 6 eggs
2/7 , 1/14 , 3/35 , 11/70
probability that on any particular day the chickens will lay 4 eggs or less
i) 1/5 (ii) 3/7 (iii) 3/35 (iv) 1/7
Solution
survey was done for 10 Weeks
probability that on particular day the chickens will lay 5 eggs = 20/70
= 2/7
more than 6 eggs = 7eggs , 8 eggs
= 6 + 5 = 11 Days
probability that on any particular day the chickens will lay more than 6 eggs = 11/70
4 eggs or less = 2 , 3 or 4
= 6 + 10 + 14
= 30 Days
Probability that chickens will lay 4 eggs or less = 30/70 = 3/7
There are 77 days in 11 Weeks.
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Answer:
(a) 10 weeks
(b)2/7
(c) 11/70
(d) 3/7
(e)77days